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2017 · Shift 2

54 questions · JEE Advanced

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2017 · Shift 2

2017 · Shift 2

54 questions · JEE Advanced

Chemistry18 questions Mathematics18 questions Physics18 questions

SolutionsChemistry · 1 questions P Block ElementsChemistry · 3 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 3 questions Compounds Containing NitrogenChemistry · 2 questions Basics of Organic ChemistryChemistry · 1 questions D and F Block ElementsChemistry · 2 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Surface ChemistryChemistry · 1 questions ThermodynamicsChemistry · 2 questions Redox ReactionsChemistry · 1 questions ElectrochemistryChemistry · 1 questions Limits Continuity and DifferentiabilityMathematics · 2 questions Differential EquationsMathematics · 2 questions Matrices and DeterminantsMathematics · 1 questions ProbabilityMathematics · 1 questions FunctionsMathematics · 1 questions Vector AlgebraMathematics · 2 questions 3D GeometryMathematics · 1 questions Application of DerivativesMathematics · 2 questions Definite IntegrationMathematics · 1 questions Application of IntegrationMathematics · 1 questions Trigonometric Functions and EquationsMathematics · 2 questions Quadratic Equation and InequalitiesMathematics · 2 questions ElectrostaticsPhysics · 1 questions Wave OpticsPhysics · 1 questions Alternating CurrentPhysics · 1 questions MagnetismPhysics · 2 questions Units and MeasurementsPhysics · 1 questions GravitationPhysics · 1 questions MotionPhysics · 2 questions Rotational MotionPhysics · 5 questions Dual Nature of RadiationPhysics · 1 questions Electromagnetic InductionPhysics · 1 questions CapacitorPhysics · 2 questions

Q1.Pure water freezes at $273 K$ and $1$ bar. The addition of $34.5 g$ of ethanol to $500 g$ of water changes the freezing point of the solution. Use the freezing point depression constant of water as $2$ kg $m o l^{- 1} .$ The figures shown…
Chemistry · Solutions · MCQ
Q2.Upon heating $K C l O_{3}$ in the presence of catalytic amount of $M n O_{2},$ a gas $W$ is formed. Excess amount of $W$ reacts with white phosphorous to give $X .$ The reaction of $X$ with pure $H N O_{3}$ gives $Y$ and $Z .$ $Y$ and $Z$ are,…
Chemistry · P Block Elements · MCQ
Q3.The reaction of compound $P$ with $C H_{3} M g B r$ (excess) in $(C_{2} H_{5})_{2} O$ followed by addition of $H_{2} O$ gives $Q .$ The compound $Q$ on treatment with $H_{2} S O_{4}$ at $0^{\circ} C$ gives $R .$ The reaction of $R$ … Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q4.Upon heating $K C l O_{3}$ in the presence of catalytic amount of $M n O_{2},$ a gas $W$ is formed. Excess amount of $W$ reacts with white phosphorous to give $X .$ The reaction of $X$ with pure $H N O_{3}$ gives $Y$ and $Z .$ $W$ and $X$ are,…
Chemistry · P Block Elements · MCQ
Q5.Compounds $P$ and $R$ upon ozonolysis produce $Q$ and $S,$ respectively. The molecular formula of $Q$ and $S$ is $C_{8} H_{8} O . Q$ undergoes Canninzzaro reaction but not haloform reaction, whereas $S$ undergoes haloform reaction but not… Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · Multiple correct
Q6.The order of basicity among the following compounds is Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q7.The major product of the following reaction is Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q8.For the following compounds, the correct statement(s) with respect to nucleophilic substitution reaction is (are) Includes diagram
Chemistry · Basics of Organic Chemistry · Multiple correct
Q9.The options(s) with only amphoteric oxides is (are)
Chemistry · D and F Block Elements · Multiple correct
Q10.Among the following, the correct statement(s) is (are)
Chemistry · P Block Elements · Multiple correct
Q11.In a bimolecular reaction, the steric factor $P$ was experimentally determined to be $4.5.$ The correct option(s) among the following is (are)
Chemistry · Chemical Kinetics and Nuclear Chemistry · Multiple correct
Q12.Which of the following combination will produce $H_{2}$ gas ?
Chemistry · D and F Block Elements · MCQ
Q13.The correct statement(s) about surface properties is (are)
Chemistry · Surface Chemistry · Multiple correct
Q14.For a reaction taking place in a container in equilibrium with its surroundings, the effect of temperature on its equilibrium constant $K$ in terms of change in entropy is described by
Chemistry · Thermodynamics · Multiple correct
Q15.The order of the oxidation state of the phosphorous atom in $H_{3} P O_{2}, H_{3} P O_{4}, H_{3} P O_{3}$ and $H_{4} P_{2} O_{6}$ is
Chemistry · Redox Reactions · MCQ
Q16.The standard state Gibbs free energies of formation of $C$ (graphite) and $C$ (diamond) at $T = 298 K$ are $Δ_{f} G^{0}$ [ $C$ (graphite)] $= 0 k J m o l^{- 1} Δ_{f} G^{0}$ [ $C$ (diamond)] $= 2.9 k J m o l^{- 1}$ The standard state means that…
Chemistry · Thermodynamics · MCQ
Q17.For the following cell, $Z n (s) ∣ Z n S O_{4} (a q) ∣ ∣ C u S O_{4} (a q) ∣ C u (s)$ when the concentration of $Z n^{2 +}$ is $10$ times the concentration of $C u^{2 +},$ …
Chemistry · Electrochemistry · MCQ
Q18.The reaction of compound $P$ with $C H_{3} M g B r$ (excess) in $(C_{2} H_{5})_{2} O$ followed by addition of $H_{2} O$ gives $Q .$ The compound $Q$ on treatment with $H_{2} S O_{4}$ at $0^{\circ} C$ gives $R .$ The reaction of $R$ … Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q19.If f : R $\to$ R is a twice differentiable function such that f"(x) > 0 for all x $\in$ R, and $f (\frac{1}{2}) = \frac{1}{2}$ , f(1) = 1, then
Mathematics · Limits Continuity and Differentiability · MCQ
Q20.If y = y(x) satisfies the differential equation $8 x (9 + x) d y = (4 + 9 + x)^{- 1}$ dx, x > 0 and y(0) = $7$ , then y(256) =
Mathematics · Differential Equations · MCQ
Q21.How many 3 $\times$ 3 matrices M with entries from {0, 1, 2} are there, for which the sum of the diagonal entries of MTM is 5?
Mathematics · Matrices and Determinants · MCQ
Q22.Three randomly chosen nonnegative integers x, y and z are found to satisfy the equation x + y + z = 10. Then the probability that z is even, is
Mathematics · Probability · MCQ
Q23.Let S = {1, 2, 3, .........., 9}. For k = 1, 2, .........., 5, let Nk be the number of subsets of S, each containing five elements out of which exactly k are odd. Then N1 + N2 + N3 + N4 + N5 =
Mathematics · Functions · MCQ
Q24.Let O be the origin and let PQR be an arbitrary triangle. The point S is such that $O P$ . $O Q$ + $O R$ . $O S$ = $O R$ .…
Mathematics · Vector Algebra · MCQ
Q25.The equation of the plane passing through the point (1, 1, 1) and perpendicular to the planes 2x + y $-$ 2z = 5 and 3x $-$ 6y $-$ 2z = 7 is
Mathematics · 3D Geometry · MCQ
Q26.f : R $\to$ R is a differentiable function such that f'(x) > 2f(x) for all x $\in$ R, and f(0) = 1 then
Mathematics · Application of Derivatives · Multiple correct
Q27.If $I = \sum o l imi t s_{k = 1}^{98} \int_{k}^{k + 1} \frac{k + 1}{x ( x + 1 )} d x$ , then
Mathematics · Definite Integration · Multiple correct
Q28.If the line x = $α$ divides the area of region R = {(x, y) $\in$ R2 : x3 $\leq$ y $\leq$ x, 0 $\leq$ x $\leq$ 1} into two equal parts, then
Mathematics · Application of Integration · Multiple correct
Q29.Let $α$ and $β$ be non zero real numbers such that $2 (cos β - cos α) + cos α cos β = 1$ . Then which of the following is/are true?
Mathematics · Trigonometric Functions and Equations · Multiple correct
Q30.Let $f (x) = \frac{1 - x ( 1 + ∣1 - x ∣ )}{∣1 - x ∣} cos (\frac{1}{1 - x})$ for x $e$ 1. Then
Mathematics · Limits Continuity and Differentiability · Multiple correct
Q31.If $g (x) = \int_{s i n x}^{s i n (2 x)} sin^{- 1} (t) d t$ , then
Mathematics · Differential Equations · Multiple correct
Q32.If $f (x) = cos 2 x - cos x sin x cos 2 x cos x sin x sin 2 x - sin x cos x$ , then
Mathematics · Application of Derivatives · Multiple correct
Q33.Let O be the origin and $O X$ , $O Y$ , $O Z$ be three unit vectors in the directions of the sides $QR$ , $R P$ , $P Q$ respectively, of a…
Mathematics · Trigonometric Functions and Equations · MCQ
Q34.Let O be the origin and $O X$ , $O Y$ , $O Z$ be three unit vectors in the directions of the sides $QR$ , $R P$ , $P Q$ respectively, of a…
Mathematics · Vector Algebra · MCQ
Q35.Let p, q be integers and let $α$ , $β$ be the roots of the equation, x2 $-$ x $-$ 1 = 0 where $α e β$ . For n = 0, 1, 2, ........, let an = p $α$ n + q $β$ n. FACT : If a and b are rational numbers and a + b $5$ …
Mathematics · Quadratic Equation and Inequalities · MCQ
Q36.Let p, q be integers and let $α$ , $β$ be the roots of the equation, x2 $-$ x $-$ 1 = 0 where $α e β$ . For n = 0, 1, 2, ........, let an = p $α$ n + q $β$ n. FACT : If a and b are rational numbers and a + b $5$ …
Mathematics · Quadratic Equation and Inequalities · MCQ
Q37.A point charge $+ Q$ is placed just outside an imaginary hemispherical surface of radius $R$ as shown in the figure. Which of the following statements is/are correct? Includes diagram
Physics · Electrostatics · Multiple correct
Q38.Two coherent monochromatic point sources $S_{1}$ and $S_{2}$ of wavelength $λ = 600 nm$ are placed symmetrically on either side of the center of the circle as shown. The sources are separated by a distance $d = 1.8 mm .$ This… Includes diagram
Physics · Wave Optics · Multiple correct
Q39.The instantaneous voltages at three terminals marked $Z$ and $Z$ are given by $V_{x} = V_{0} sin ω t, V_{Y} = V_{0} sin$ $(ω t + \frac{2 π}{3})$ and $V z = V_{0} sin (ω t + \frac{4 π}{3})$ …
Physics · Alternating Current · Multiple correct
Q40.A uniform magnetic field $B$ exist in the region between $x = 0$ and $x = \frac{3 R}{2}$ (region $2$ in the figure) pointing normally into the plane of the paper. A particle with charge $+ Q$ and momentum $p$ directed along $x$ -axis enters… Includes diagram
Physics · Magnetism · Multiple correct
Q41.A person measures the depth of a well by measuring the time interval between dropping a stone and receiving the sound of impact with the bottom of the well. The error in his measurement of time is $δ T = 0.01$ seconds and he measures…
Physics · Units and Measurements · MCQ
Q42.A rocket is launched normal to the surface of the Earth, away from the sun, along the line joining the Sun and the Earth. The Sun is $3 \times 10^{5}$ times heavier than the earth and is at a distance $2.5 \times 1 0^{4}$ times larger than…
Physics · Gravitation · MCQ
Q43.Three vectors $P, Q$ and $R$ are shown in the figure. Let $S$ be any point on the vector $R .$ The distance between the points $P$ and $S$ is $b R .$ … Includes diagram
Physics · Motion · MCQ
Q44.Consider regular polygons with number of sides $n = 3, 4, 5....$ as shown in the figure. The center of mass of all the polygons is at height $h$ from the ground. They roll on a horizontal surface about the leading vertex without slipping and… Includes diagram
Physics · Rotational Motion · MCQ
Q45.A symmetric star shaped conducting wire loop is carrying a steady state current $I$ as shown in the figure. The distance between the diametrically opposite vertices of the star is $4 a .$ The magnitude of the magnetic field at the… Includes diagram
Physics · Magnetism · MCQ
Q46.A photoelectric material having work-function $ϕ_{0}$ is illuminated with light of wavelength $λ (λ < \frac{h e}{ϕ _{0}}) .$ The fastest photoelectron has a de-Broglic wavelength $λ_{d} .$ A…
Physics · Dual Nature of Radiation · MCQ
Q47.Consider an expanding sphere of instantaneous radius R whose total mass remains constant. The expansion is such that the instantaneous density $ρ$ remains uniform throughout the volume. The rate of fractional change in density $(\frac{1}{ρ} \frac{d ρ}{d t})$ …
Physics · Motion · MCQ
Q48.A wheel of radius R and mass M is placed at the bottom of a fixed step of height R as shown in the figure. A constant force is continuously applied on the surface of the wheel so that it just climbs the step without slipping. Consider the… Includes diagram
Physics · Rotational Motion · Multiple correct
Q49.A rigid uniform bar AB of length L is slipping from its vertical position on a frictionless floor (as shown in the figure). At some instant of time, the angle made by the bar with the vertical is $θ$ . Which of the following statements… Includes diagram
Physics · Rotational Motion · Multiple correct
Q50.A source of constant voltage V is connected to a resistance R and two ideal inductors L1 and L2 through a switch S as shown. There is no mutual inductance between the two inductors. The switch S is initially open. At t = 0, the switch is… Includes diagram
Physics · Electromagnetic Induction · Multiple correct
Q51.Consider a simple RC circuit as shown in Figure 1. Process 1 : In the circuit the switch S is closed at t = 0 and the capacitor is fully charged to voltage V0 (i.e. charging continues for time T >> RC). In the process some… Includes diagram
Physics · Capacitor · MCQ
Q52.Consider a simple RC circuit as shown in Figure 1. Process 1 : In the circuit the switch S is closed at t = 0 and the capacitor is fully charged to voltage V0 (i.e. charging continues for time T >> RC). In the process some… Includes diagram
Physics · Capacitor · MCQ
Q53.One twirls a circular ring (of mass M and radius R) near the tip of one's finger as shown in Figure 1. In the process the finger never loses contact with the inner rim of the ring. The finger traces out the surface of a cone, shown by the… Includes diagram
Physics · Rotational Motion · MCQ
Q54.One twirls a circular ring (of mass M and radius R) near the tip of one's finger as shown in Figure 1. In the process the finger never loses contact with the inner rim of the ring. The finger traces out the surface of a cone, shown by the… Includes diagram
Physics · Rotational Motion · MCQ